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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 800 = 400/1+r+300/(1+r)2+(1+r)3 .
    Question type: Equation
    Solution:Original question:
     800 = 400 ÷ 1 + r + 300 ÷ (1 + r ) × 2 + (1 + r ) × 3
     Multiply both sides of the equation by:(1 + r )
     800(1 + r ) = 400 ÷ 1 × (1 + r ) + r (1 + r ) + 300 × 2 + (1 + r ) × 3(1 + r )
    Remove a bracket on the left of the equation::
     800 × 1 + 800 r = 400 ÷ 1 × (1 + r ) + r (1 + r ) + 300 × 2 + (1 + r ) × 3(1 + r )
    Remove a bracket on the right of the equation::
     800 × 1 + 800 r = 400 ÷ 1 × 1 + 400 ÷ 1 × r + r (1 + r ) + 300 × 2 + (1 + r ) × 3
    The equation is reduced to :
     800 + 800 r = 400 + 400 r + r (1 + r ) + 600 + (1 + r ) × 3(1 + r )
    The equation is reduced to :
     800 + 800 r = 1000 + 400 r + r (1 + r ) + (1 + r ) × 3(1 + r )
    Remove a bracket on the right of the equation::
     800 + 800 r = 1000 + 400 r + r × 1 + r r + (1 + r ) × 3(1 + r )
    The equation is reduced to :
     800 + 800 r = 1000 + 401 r + r r + (1 + r ) × 3(1 + r )
    Remove a bracket on the right of the equation::
     800 + 800 r = 1000 + 401 r + r r + 1 × 3(1 + r ) + r × 3(1 + r )
    The equation is reduced to :
     800 + 800 r = 1000 + 401 r + r r + 3(1 + r ) + r × 3(1 + r )
    Remove a bracket on the right of the equation::
     800 + 800 r = 1000 + 401 r + r r + 3 × 1 + 3 r + r × 3(1 + r )
    The equation is reduced to :
     800 + 800 r = 1000 + 401 r + r r + 3 + 3 r + r × 3(1 + r )
    The equation is reduced to :
     800 + 800 r = 1003 + 404 r + r r + r × 3(1 + r )
    Remove a bracket on the right of the equation::
     800 + 800 r = 1003 + 404 r + r r + r × 3 × 1 + r × 3 r
    The equation is reduced to :
     800 + 800 r = 1003 + 404 r + r r + r × 3 + r × 3 r
    The equation is reduced to :
     800 + 800 r = 1003 + 407 r + r r + r × 3 r

    The solution of the equation:
        r1≈0.519284 , keep 6 decimal places
        r2≈97.730716 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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